OpenCourser brand icon
Sign in
We may earn an affiliate commission when you visit our partners.

Perfect Your Math Fundamentals (Pre-Algebra)

Ruchi Chhabra

This course is carefully designed to explain number system basics and an in-depth study of all the operations that are performed on them.

It has 90 lectures spanning 12+ hours of on-demand videos that are divided into 16 sections. Each topic is explained extensively - by solving multiple questions along with the student during the lectures. The students are also provided and encouraged to solve practice questions & quizzes provided at the end of each topic.

Topics covered in the course:

Read more

This course is carefully designed to explain number system basics and an in-depth study of all the operations that are performed on them.

It has 90 lectures spanning 12+ hours of on-demand videos that are divided into 16 sections. Each topic is explained extensively - by solving multiple questions along with the student during the lectures. The students are also provided and encouraged to solve practice questions & quizzes provided at the end of each topic.

Topics covered in the course:

  • Integers

  • Fractions

  • Decimals

  • Factors & Multiples

  • PEMDAS

  • BODMAS

  • Rational Numbers

  • Irrational Numbers

  • Approximation

  • Significant Figures

  • Estimation

  • Percentage

  • Ratio

  • Direct and Inverse proportion

  • Profit & Loss

  • Discounts & Taxes

Here's what some students say about the course:

  • "The lecturer is great, she explains every concepts well and makes it easy to understand" - Maame Adwoa Obiri

  • "This course helped me a lot in building up my basics, I recommend this to all who have mathematics fear. It will definitely boost your confidence and interest in mathematics" - Nami Singh

  • "This is a great course it provides comprehensive insights to maths fundamentals. Ruchi ma'am way of explaining is awesome fundamentals and every math concept is explained in a clear and succinct manner" - Nitin

  • "This course is helping me to prepare for my competition exam without coaching" - Shivam Namdeo

  • "This is a very interesting and helpful course. Quick way to recap what you have learnt earlier and even easy to understand for the first time learners. Highly recommended" - Suvidha Mhapsekar

With this course you'll also get:

  • Full lifetime access to the course

  • Complete support for any question, clarification or difficulty you might face on the topic

  • Udemy Certificate of Completion available for download

  • 30-day money back guarantee

Feel free to contact me for any questions or clarifications you might have.

I look forward to seeing you in the course. :)

Enroll now

What's inside

Learning objectives

  • Integers, fractions & decimals
  • Ratio & direct and inverse proportion
  • Rounding off numbers, estimation and approximation
  • Factors & multiples
  • Pemdas, bodmas
  • Rational numbers & irrational numbers
  • Percentage
  • Profit & loss, discounts & taxes

Syllabus

Introduction
About Course
Introduction - Important Instructions
At the end of this sections students will be able to understand Integers completely and will be able to compare and apply all operations of Addition ,Subtraction , Multiplication and division.
Read more

After completing the lecture , learner will be able to brush up on basic numbers used in Mathematics

Number System
integers- Introduction
Comparison of Integers
Addition & Subtraction of Integers
Addition and Subtraction of Integers
Multiplication & Division of Integers
Multiplication and Division of Integers
More on Integers
Powers on Integers
Divisibility Rules
Divisibility Rules - 2,3,4,5,6,8,9,10,11
Divisibility Rule of 7 & 13
Divisibility Rules – 7 and 13
Divisibility Rules for composite numbers like 12,14,15,18,63
After this section , students will be able to (1) write factors and multiples of a number (2) write prime factorization of a number(3)find HCF and LCM (4) solve word problems based on HCF and LCM
Prime Factorization
Factors and Prime Factors
Multiples and LCM
LCM by division method
Word Problems on LCM
Word problems on LCM
HCF
HCF by division method
Word Problems based on H.C.F
Word problems on HCF
Relation between LCM and HCF of two numbers
Resources
After this section students will be able to compare , add, subtract , multiply and divide fractions confidently and will be able to solve real life problems ( word Problems) based on fractions easily.
Classification of fractions
Convert Mixed to Improper and Improper to mixed fractions
Equivalent Fractions
Comparing Fractions after converting to like Fractions
Reducing a Fraction to its lowest terms
Addition and Subtraction of Fractions
Multiplication and Division of fractions
Find Fractions of whole number quantities or measurements
Downloadable resources
Fractions
At the end of this section students will be able to convert fractions to decimals and decimals to fractions.They will be able to add,subtract, multiply and divide decimal numbers easily.
Expanded form of Decimals
Expanded form to Decimal form
Writing fractions to Decimals
Converting Decimals to fraction
Like and Unlike Decimals
Comparing & ordering of Decimal numbers
Decimal numbers
Why to Round off a Number?
Addition and Subtraction of Decimal Numbers
Multiplication of Decimal Numbers
Rounding off techniques
Division of Decimal Numbers
Downloadable Resources
After completing this section Students will be able to apply BODMAS rule easily for simplification problems.Students will be able to crack problems containing several operations and many brackets .
Order of Operations - PEMDAS
Practice Problems on PEMDAS
Practice Problems on Nested Parentheses
Order of Operations rule- PEMDAS
Rules of ordering- BODMAS
BODMAS Rule - Basics
Practice Problems BODMAS Part 1
Practice Problems BODMAS Part 2
Rational and Irrational Numbers
Rational and Irrational numbers -1
Rational and Irrational numbers -2
Rational and Irrational numbers -3
Terminating and Non-Terminating recurring decimals
Converting Terminating Decimals to Fractions
Converting Non-Terminating Decimals to Fractions Part 1
Converting Non-Terminating Decimals to Fractions Part 2
Converting Non-Terminating Decimals to Fractions Part 3
Converting Recurring Decimals to Fractions
After this section students will be able to apply all types of rounding . They will be able to write scientific notation of any number and will be able to estimate any calculations.
Practice Problems Part 1
Approximation
Practice Problems Part 2
Rounding to Significant Figures
Estimation
Estimation using Fractions and Decimals
Scientific Notation (or Standard form)
Writing in Scientific Notation

Save this course

Save Perfect Your Math Fundamentals (Pre-Algebra) to your list so you can find it easily later:
Save

Activities

Be better prepared before your course. Deepen your understanding during and after it. Supplement your coursework and achieve mastery of the topics covered in Perfect Your Math Fundamentals (Pre-Algebra) with these activities:
Review Basic Arithmetic
Strengthen your understanding of basic arithmetic operations to prepare for more complex concepts in the course.
Show steps
  • Review addition, subtraction, multiplication, and division rules.
  • Practice solving arithmetic problems without a calculator.
  • Identify areas where you need more practice.
Review 'Basic Mathematics' by Serge Lang
Reinforce your understanding of fundamental math concepts by reviewing a comprehensive textbook.
View Neural Networks are Homeomorphisms: An... on Amazon
Show steps
  • Read the chapters related to arithmetic and pre-algebra.
  • Work through the example problems in the book.
  • Take notes on key concepts and formulas.
Review 'Pre-Algebra for Dummies' by Mark Zegarelli
Supplement your learning with a beginner-friendly guide to pre-algebra concepts.
View Fractions For Dummies on Amazon
Show steps
  • Read the chapters that align with the course syllabus.
  • Complete the practice problems at the end of each chapter.
  • Use the book as a reference for clarifying difficult concepts.
Four other activities
Expand to see all activities and additional details
Show all seven activities
Practice Fraction Operations
Improve your proficiency in fraction operations, a crucial skill for success in this course.
Show steps
  • Solve fraction addition, subtraction, multiplication, and division problems.
  • Work through problems involving mixed numbers and improper fractions.
  • Check your answers and review any mistakes.
Decimal Conversion Exercises
Enhance your ability to convert between fractions and decimals, a key skill for various mathematical applications.
Show steps
  • Convert fractions to decimals using long division.
  • Convert decimals to fractions by identifying place values.
  • Practice converting repeating decimals to fractions.
Create a PEMDAS/BODMAS Guide
Solidify your understanding of the order of operations by creating a guide that explains and illustrates PEMDAS/BODMAS rules.
Show steps
  • Research and summarize the rules of PEMDAS/BODMAS.
  • Create example problems that demonstrate each step.
  • Design a visually appealing and easy-to-understand guide.
  • Share your guide with classmates for feedback.
Create a Real-World Math Application Project
Apply your knowledge of pre-algebra concepts to a real-world scenario to deepen your understanding and problem-solving skills.
Show steps
  • Choose a real-world scenario that involves math concepts from the course.
  • Identify the math problems within the scenario.
  • Solve the problems using the techniques learned in the course.
  • Present your project with clear explanations of your solutions.

Career center

Learners who complete Perfect Your Math Fundamentals (Pre-Algebra) will develop knowledge and skills that may be useful to these careers:
Math Tutor
A math tutor helps students of all ages grasp mathematical concepts, improve their skills, and build confidence. This course can help you become a more effective math tutor, especially when working with students who need to strengthen their foundational math skills. The course provides a comprehensive review of number systems, operations, fractions, decimals, and more, giving you a solid knowledge base to explain these concepts clearly and concisely to your students. By mastering the content in this course, you can better address the specific challenges your students face and tailor your tutoring approach to meet their individual needs. You will also have an understanding of the order of operations PEMDAS and BODMAS.
See salaries and explore the career path for Math Tutor
Elementary School Teacher
An elementary school teacher is responsible for educating children in a variety of subjects, including mathematics. This course may be useful in reinforcing your knowledge of fundamental math concepts, ensuring that you are well-prepared to teach these concepts to your students. With its comprehensive coverage of topics such as fractions, decimals, percentages, and ratios, the course can help you explain these concepts in a clear and engaging manner. Learning about the order of operations using PEMDAS and BODMAS, as well as the concepts of rational and irrational numbers, fractions, factors and multiples will allow you to instruct on these topics with confidence. This course provides a strong foundation in pre-algebra, which is essential for building your confidence in mathematics and in your ability to teach math.
See salaries and explore the career path for Elementary School Teacher
Middle School Teacher
A middle school teacher educates students in a range of subjects, often specializing in areas like mathematics. This course is valuable as it helps solidify understanding of core math principles, which is essential for teaching pre-algebra and algebra concepts effectively. The thorough explanation of number systems, operations, and problem-solving techniques, detailed in the course material, can help the middle school teacher present material in an understandable way to students. Furthermore, the course's exploration of fractions, decimals, percentages, and ratios provides a strong foundation for addressing the challenges students often face in middle school math. You will also be able to teach the order of operations with PEMDAS and BODMAS.
See salaries and explore the career path for Middle School Teacher
Curriculum Developer
A curriculum developer designs and creates educational materials and lesson plans for various subjects, including mathematics. This course may be useful as it strengthens the curriculum developer's understanding of fundamental math concepts, enabling the creation of more effective and engaging learning materials. The comprehensive coverage of number systems, operations, fractions, decimals, and problem-solving techniques can help you develop a well-structured and comprehensive math curriculum. Understanding common student misconceptions, as addressed in the course, can also inform the design of targeted interventions. Learning about integers, factors and multiples, and rational and irrational numbers will also make you confident in your ability to develop a comprehensive mathematics curriculum.
See salaries and explore the career path for Curriculum Developer
Educational Consultant
An educational consultant provides expert advice and guidance to schools and educational organizations on curriculum, instruction, and assessment. This course is valuable as it helps the consultant develop a deeper understanding of fundamental math concepts, which can inform recommendations for improving math education programs. The comprehensive coverage of number systems, operations, fractions, decimals, and problem-solving techniques can help you critically evaluate existing curricula and identify areas for improvement. Understanding common student misconceptions, as addressed in this course, can also inform the development of effective interventions and professional development programs for teachers. The course dives into Integers, rational numbers, and percentages.
See salaries and explore the career path for Educational Consultant
Math Content Writer
A math content writer creates educational materials, such as textbooks, online lessons, and assessments, that explain mathematical concepts to students of all ages. This course ensures that the content writer has a thorough understanding of the fundamental math concepts they are writing about. The course's comprehensive coverage of number systems, operations, fractions, decimals, percentages, and ratios allows you to explain these concepts accurately and effectively. By solving multiple questions during the lectures, you will be able to develop a deeper understanding of the material and write content that is both informative and engaging. The course also covers significant figures and estimation.
See salaries and explore the career path for Math Content Writer
Test Preparation Instructor
A test preparation instructor helps students prepare for standardized tests, such as the SAT or ACT, which often include math sections. This course may be useful in reinforcing your knowledge of fundamental math concepts, ensuring that you are well-prepared to teach these concepts to your students. With its comprehensive coverage of topics such as fractions, decimals, percentages, and ratios, the course can help you explain these concepts in a clear and engaging manner. The multiple solved questions in the lectures will help build your confidence in your ability to teach.
See salaries and explore the career path for Test Preparation Instructor
Technical Trainer
A technical trainer educates individuals on the use of particular software or hardware. The understanding of mathematical principles found in this course provides a foundation for explaining the underlying logic and calculations performed by these technologies. This course is useful in solidifying your grasp of number systems, approximation analysis, and basic operations, which are often essential for comprehending how software and hardware function. This course may serve as a primer on core quantitative principles.
See salaries and explore the career path for Technical Trainer
Data Entry Clerk
A data entry clerk inputs information into computer systems, and this often involves working with numerical data. This course reinforces your understanding of number systems, operations, accuracy, and attention to detail, which are all crucial for ensuring data integrity. The practice questions and quizzes in this course may help you develop your skills in numerical reasoning. You will gain mastery of integers, percentages, and estimation.
See salaries and explore the career path for Data Entry Clerk
Bookkeeper
A bookkeeper records financial transactions, maintains financial records, and prepares financial reports for individuals or organizations. This course reinforces your understanding of basic math concepts, accuracy, and attention to detail, which are crucial for maintaining accurate financial records. The course provides a comprehensive review of operations, fractions, decimals, percentages, ratios, profit and loss, discounts, and taxes, so you may be able to enhance your skills in calculating and recording financial data. The course also gives you an understanding of significant figures and estimation.
See salaries and explore the career path for Bookkeeper
Financial Planner
A financial planner advises clients on investments, retirement planning, and other financial matters. While this role typically requires advanced financial knowledge, this course may be useful in reinforcing your foundation in basic math concepts, which are essential for understanding financial calculations and projections. The comprehensive review of percentages, ratios, profit and loss, discounts, and taxes can you help explain financial concepts to your clients in a clear and understandable manner. You will also be able to easily handle calculations for financial planning.
See salaries and explore the career path for Financial Planner
Market Research Analyst
A market research analyst studies market conditions, consumer behavior, and competitor activity to advise companies on product development and marketing strategies. While this role typically involves advanced statistical analysis, this course may be useful in reinforcing your foundation in basic math concepts, which are essential for understanding market data and trends. The comprehensive review of percentages, ratios, and estimation techniques can help you interpret market research data and draw meaningful conclusions. You will also learn about fractions and decimals.
See salaries and explore the career path for Market Research Analyst
Project Manager
A project manager oversees the planning, execution, and closure of specific projects, ensuring they are completed on time and within budget. While this course is not directly related to project management methodologies, it may be useful in improving your quantitative reasoning skills, which are essential for budgeting, resource allocation, and scheduling. Understanding the order of operations using PEMDAS and BODMAS can help you think critically about project parameters. Learning about percentages and ratios also helps.
See salaries and explore the career path for Project Manager
Business Analyst
A business analyst uses data to identify areas of improvement in an organization. While this role typically requires advanced analytical skills, this course may be useful in reinforcing your foundation in basic math concepts, which are essential for understanding business data and trends. The comprehensive review of percentages, ratios, and estimation techniques may help you interpret business data and draw meaningful conclusions. You will also gain insights into rational and irrational number concepts.
See salaries and explore the career path for Business Analyst
Real Estate Agent
A real estate agent helps clients buy, sell, or rent properties. This course is useful in reinforcing your foundation in basic math concepts, which are essential for calculating property values, mortgage payments, and commissions. The comprehensive review of percentages, ratios, and estimation techniques may provide you with calculation skills relevant to real estate transactions. You may also find the explanation of decimals helpful.
See salaries and explore the career path for Real Estate Agent

Reading list

We've selected two books that we think will supplement your learning. Use these to develop background knowledge, enrich your coursework, and gain a deeper understanding of the topics covered in Perfect Your Math Fundamentals (Pre-Algebra).
Cover image
Fractions For Dummies
Save
Offers a friendly and accessible introduction to pre-algebra concepts. It is particularly useful for students who struggle with math or need a refresher on the basics. The book covers a wide range of topics, including integers, fractions, decimals, and basic algebra. It valuable resource for reinforcing the concepts taught in the course and building confidence in math skills.
Fractions For Dummies
Paperback
$$
Cover image
Neural Networks are Homeomorphisms
Save
Provides a comprehensive review of basic mathematical concepts, including arithmetic, algebra, and geometry. It is particularly helpful for students who need to strengthen their foundational knowledge before tackling more advanced topics. While not directly aligned with every topic in the course, it offers a solid base for understanding the underlying principles. It can be used as a reference text for clarifying concepts.
Neural Networks are Homeomorphisms: An Introduction...
Paperback
$$

Share

Help others find this course page by sharing it with your friends and followers:
Facebook
LinkedIn
Reddit
X
Link
Email

Similar courses

Similar courses are unavailable at this time. Please try again later.
Effort
10.5 total hours
Via
Udemy
Instructor
Ruchi Chhabra
Language
English
Share and help others discover this course.
Facebook LinkedIn X Reddit Link Email
Don't miss out
Enroll today to gain access to this course
Enroll in this course
Our mission

OpenCourser helps millions of learners each year. People visit us to learn workspace skills, ace their exams, and nurture their curiosity.

Our extensive catalog contains over 50,000 courses and twice as many books. Browse by search, by topic, or even by career interests. We'll match you to the right resources quickly.

Find this site helpful? Tell a friend about us.

Affiliate disclosure

We're supported by our community of learners. When you purchase or subscribe to courses and programs or purchase books, we may earn a commission from our partners.

Your purchases help us maintain our catalog and keep our servers humming without ads.

Thank you for supporting OpenCourser.

© 2016 - 2025 OpenCourser